Back to Calculus: Single Variable Part 1 - Functions

4.8

953 ratings

•

249 reviews

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
In this first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O....

Jul 03, 2018

Very well structured for a refresher course. Thank you Professor Ghrist for your effort in putting this course together. A little additional outside research was required but well worth the effort.

Dec 16, 2016

Excellent class. Prof. Ghrist has a great teaching style, and his idea to use Taylor Series first is quite effective. Many functions I have shied away from in the past are now familiar to me.

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By Benjamin S

•Apr 08, 2019

Amazing course! I took Calc 1 and 2 way back when and plan to attend college again starting this summer to earn another degree. Being Engineering, I wanted to brush up on my calc 1 and 2 before I dive into DiffEQs and Linear Algebera and this course did just that for me. The best part about it was that he assumes you alerady have a basic understanding of the material so its not like starting from square 1.

By SG C

•Apr 07, 2019

Interesting starting point for calculus which makes intuitive sense. The visuals in the lectures are excellent, specifically on the explanation of limits. Taking this course is akin to reading a spy thriller book, the farther one goes the more intriguing it gets.

By Anthony D

•Jan 31, 2019

Excellent course from a great school and excellent professor. The videos were informative. I found this class to be very challenging. I ended up with an A and look forward to the next parts. I think you need some exposure to calculus before taking this class. I took calculus 8 years ago.

By Kevin L

•Jun 23, 2018

This course, which teaches calculus, assumes that the audience already knows calculus. That's so ridiculous!

By Pooja R

•Mar 02, 2016

Not worth it - better to just read a book on calculus, as the homework questions at the end of each session does not even reflect one single example in the 16min session. Disappointed, but then again what can you learn in 15 min sessions, very little.

By Gabe E

•Feb 01, 2016

As I already have my Mathematics Minor, I wanted a quick refresher course. I would say this course is severely lacking in both practice problems as well as example problems done during video sessions. Students need more applied concepts to be able to understand and succeed if this content is not familiar. I got by only by preexisting knowledge of these Math concepts.

By Pavel K

•Jun 16, 2019

Good explanation of quite complicated things. Bonus materials are especially useful for understanding.

By Ramanuj H

•Jun 05, 2019

This is a very good course delivered in an engaging and accessible way

By 孙宇杰

•Jun 04, 2019

good course, very helpful!

By Anurag G

•Jun 03, 2019

they don't give a certificate scam

By Abdulla A S

•May 26, 2019

Wonderful course delving into the basics of calculus. I loved the explanatikon and colors. Although I am still not sure about Orders of growth, everything else was explained perfectly and enthusiastically.

By DHYEY D M

•May 25, 2019

Great

By JHONNY L L

•May 14, 2019

I really liked this Calculus course, there were many interesting problems and with a good degree of difficulty. I give them five stars, and I greatly appreciate them for this course.

By Luis Y

•May 11, 2019

Well explained and demanding.

By r

•May 09, 2019

It's really interesting and helpful !

By Michael C

•May 03, 2019

Great course.

By Audrey

•Apr 30, 2019

a little bit difficult but worth learning!

By

•Mar 26, 2019

Very interesting course for to learn new forms for to watch the limits using the Taylor Series and the High Order Term and big O concept are very interesting form to see the functions

By 李松涛

•Mar 23, 2019

good

By Mike

•Mar 20, 2019

Useful!

By Alessio B

•Mar 19, 2019

Very useful

By Xiyang S

•Mar 19, 2019

Great course series to learn, thanks for the work of the staff! Hope to study Multi Variable series soon.

By JORGE E M L V

•Mar 18, 2019

ES MUY BUENO ESTE CURSO DE VERDAD QUE SE APRENDE MUCHO AQUÍ, LO RECOMIENDO BASTANTE YA QUE TIENE CONTENIDOS MUY INTERESANTES

By Suyash M

•Mar 18, 2019

Very good course for revisiting calculus. It never feels old as it tackles functions and limits from a different perspective - that of the Taylor Series. But it is mostly concerned with evaluating limits and series. Some things were assumed to be true without explanation, which, I admit, might have made understanding them easier. But it slightly chafes the mind to know something without knowing proof for it, and how it came to be. Some questions that may arise but remain unanswered in the lectures include : How to find the domain of convergence of a series? Where did the Taylor's Series formula come from? These and some more are not addressed in this course, but they might be in the future chapters (which I have not completed)

By

•Mar 17, 2019

good course, has a potential to add some more explanation on 'big o'.

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